FilMINT: An Outer Approximation-Based Solver for Convex Mixed-Integer Nonlinear Programs

Kumar Abhishek
Kumar Abhishek
[email protected]
Enterprise Optimization, United Airlines, Elk Grove Village, Illinois 60007
Search for more papers by this author
,
Sven Leyffer
Sven Leyffer
[email protected]
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Illinois 60439
Search for more papers by this author
,
Jeff Linderoth
Jeff Linderoth
[email protected]
Department of Industrial and Systems Engineering, University of Wisconsin–Madison, Madison, Wisconsin 53706
Search for more papers by this author

Kumar Abhishek

[email protected]

Enterprise Optimization, United Airlines, Elk Grove Village, Illinois 60007

Search for more papers by this author

Sven Leyffer

[email protected]

Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Illinois 60439

Search for more papers by this author

Jeff Linderoth

[email protected]

Department of Industrial and Systems Engineering, University of Wisconsin–Madison, Madison, Wisconsin 53706

Search for more papers by this author

Published Online:11 Mar 2010https://doi.org/10.1287/ijoc.1090.0373

Supplemental Material

ijoc.1090.0373-sm-abhishek_leyffer_linderoth-online-supplement.pdf (166 KB)

Cited by
- An overview of mathematical programming solvers: Theory, development, and recent advances
  23 April 2026 | ENGINEERING Management, Vol. 13, No. 1
- Bilevel competitive facility location and design under a nested logit model
  Computers & Operations Research, Vol. 183
- Relaxation Techniques for Optimisation of Irrigation Systems as Flexible Energy Storage
- Perspective Benders Decomposition with Applications to Fixed-Charge Nonlinear Resource Allocation
  Kang Yang,
  Guopeng Song,
  Rui Wang,
  Haoxiang Yang,
  Roel Leus
  8 July 2025 | INFORMS Journal on Computing, Vol. 0, No. 0
- In Vitro Biological and GC-MS Analysis of Whole Plant Calotropis procera
  Journal of Chemistry, Vol. 2024
- Approaches and application of heat and water network integration in chemical process system engineering: A review
  Chemical Engineering and Processing - Process Intensification, Vol. 183
- Alternative regularizations for Outer-Approximation algorithms for convex MINLP
  1 July 2022 | Journal of Global Optimization, Vol. 84, No. 4
- Capacitated clustering problems applied to the layout of IT-teams in software factories
  24 September 2020 | Annals of Operations Research, Vol. 316, No. 2
- The supporting hyperplane optimization toolkit for convex MINLP
  10 February 2022 | Journal of Global Optimization, Vol. 84, No. 1
- Linearization and parallelization schemes for convex mixed-integer nonlinear optimization
  20 January 2022 | Computational Optimization and Applications, Vol. 81, No. 2
- Mixed-Integer Convex Representability
  Miles Lubin,
  Juan Pablo Vielma,
  Ilias Zadik
  5 October 2021 | Mathematics of Operations Research, Vol. 47, No. 1
- An Improved Multi-Threaded Implementation of the MCSFilter Optimization Algorithm
  1 January 2023
- Nonlinear chance-constrained problems with applications to hydro scheduling
  14 November 2019 | Mathematical Programming, Vol. 191, No. 1
- Fuzzy Logic Guided Load-Balanced User Association and Beamforming for Distributed mmWave Networks
  IEEE Communications Letters, Vol. 25, No. 11
- Web-Based Tool for Algebraic Modeling and Mathematical Optimization
  29 October 2021 | Mathematics, Vol. 9, No. 21
- Inversion of convection–diffusion equation with discrete sources
  25 July 2020 | Optimization and Engineering, Vol. 22, No. 3
- Innovative System for Scheduling Production Using a Combination of Parametric Simulation Models
  24 August 2021 | Sustainability, Vol. 13, No. 17
- Outer approximation for global optimization of mixed-integer quadratic bilevel problems
  8 February 2021 | Mathematical Programming, Vol. 188, No. 2
- Minotaur: a mixed-integer nonlinear optimization toolkit
  7 November 2020 | Mathematical Programming Computation, Vol. 13, No. 2
- A Mixed-Integer Fractional Optimization Approach to Best Subset Selection
  Andrés Gómez,
  Oleg A. Prokopyev
  12 March 2021 | INFORMS Journal on Computing, Vol. 33, No. 2
- Towards a High-Performance Implementation of the MCSFilter Optimization Algorithm
  1 January 2022
- Experimental Analysis of Algebraic Modelling Languages for Mathematical Optimization
  23 March 2021 | Informatica, Vol. 22
- An augmented Lagrangian filter method
  24 June 2020 | Mathematical Methods of Operations Research, Vol. 92, No. 2
- Research on the Utilization of Metro Regenerative Braking Energy Based on an Improved Differential Evolution Algorithm
  Journal of Advanced Transportation, Vol. 2020
- A review and comparison of solvers for convex MINLP
  3 December 2018 | Optimization and Engineering, Vol. 20, No. 2
- Solving Constrained Non-linear Integer and Mixed-Integer Global Optimization Problems Using Enhanced Directed Differential Evolution Algorithm
  8 December 2018
- Transient Operation Optimization Technology of Gas Transmission Pipeline: A Case Study of West-East Gas Transmission Pipeline
  IEEE Access, Vol. 7
- Polyhedral approximation in mixed-integer convex optimization
  14 September 2017 | Mathematical Programming, Vol. 172, No. 1-2
- Genomic feature selection by coverage design optimization
  7 February 2018 | Journal of Applied Statistics, Vol. 45, No. 14
- A trajectory-based method for mixed integer nonlinear programming problems
  27 September 2017 | Journal of Global Optimization, Vol. 70, No. 3
- A mean-risk mixed integer nonlinear program for transportation network protection
  European Journal of Operational Research, Vol. 265, No. 1
- Lift-and-project cuts for convex mixed integer nonlinear programs
  25 January 2017 | Mathematical Programming Computation, Vol. 9, No. 4
- Extended formulations in mixed integer conic quadratic programming
  8 November 2016 | Mathematical Programming Computation, Vol. 9, No. 3
- Recent Developments and Challenges in Optimization-Based Process Synthesis
  Annual Review of Chemical and Biomolecular Engineering, Vol. 8, No. 1
- An efficient modified differential evolution algorithm for solving constrained non-linear integer and mixed-integer global optimization problems
  23 December 2015 | International Journal of Machine Learning and Cybernetics, Vol. 8, No. 3
- Mixed integer programming with a class of nonlinear convex constraints
  Discrete Optimization, Vol. 24
- A disjunctive convex programming approach to the pollution-routing problem
  Transportation Research Part B: Methodological, Vol. 94
- An ADMM algorithm for load shedding in electric power grids
- Firefly penalty-based algorithm for bound constrained mixed-integer nonlinear programming
  27 January 2016 | Optimization, Vol. 65, No. 5
- Cutting Plane Algorithm for Convex Generalized Disjunctive Programs
  Francisco Trespalacios,
  Ignacio E. Grossmann
  16 February 2016 | INFORMS Journal on Computing, Vol. 28, No. 2
- Approximated perspective relaxations: a project and lift approach
  10 September 2015 | Computational Optimization and Applications, Vol. 63, No. 3
- A Joint Cross-Layer and Colayer Interference Management Scheme in Hyperdense Heterogeneous Networks Using Mean-Field Game Theory
  IEEE Transactions on Vehicular Technology, Vol. 65, No. 3
- Extended Formulations in Mixed-Integer Convex Programming
  25 May 2016
- Mathematical programming techniques in water network optimization
  European Journal of Operational Research, Vol. 243, No. 3
- A parallel algorithm for optimizing the capital structure contingent on maximum value at risk
  Kybernetes, Vol. 44, No. 3
- Algorithmic Approach for Improved Mixed-Integer Reformulations of Convex Generalized Disjunctive Programs
  Francisco Trespalacios,
  Ignacio E. Grossmann
  13 October 2014 | INFORMS Journal on Computing, Vol. 27, No. 1
- Strong-branching inequalities for convex mixed integer nonlinear programs
  7 October 2014 | Computational Optimization and Applications, Vol. 59, No. 3
- Solving difficult mixed integer and disjunctive non-linear problems on single and parallel processors
  Applied Soft Computing, Vol. 24
- Challenges in the application of mathematical programming in the enterprise-wide optimization of process industries
  12 October 2014 | Theoretical Foundations of Chemical Engineering, Vol. 48, No. 5
- Review of Mixed‐Integer Nonlinear and Generalized Disjunctive Programming Methods
  25 June 2014 | Chemie Ingenieur Technik, Vol. 86, No. 7
- Linearization-based algorithms for mixed-integer nonlinear programs with convex continuous relaxation
  25 March 2014 | Journal of Global Optimization, Vol. 59, No. 2-3
- Scope for industrial applications of production scheduling models and solution methods
  Computers & Chemical Engineering, Vol. 62
- An Outer-Inner Approximation for Separable Mixed-Integer Nonlinear Programs
  Hassan Hijazi,
  Pierre Bonami,
  Adam Ouorou
  4 October 2013 | INFORMS Journal on Computing, Vol. 26, No. 1
- Combining Discrete Ellipsoid-Based Search and Branch-and-Cut for Binary Quadratic Programming Problems
- On branching rules for convex mixed-integer nonlinear optimization
  28 November 2013 | ACM Journal of Experimental Algorithmics, Vol. 18
- An integral global optimization algorithm for mixed programming problem
- Bound reduction using pairs of linear inequalities
  26 January 2012 | Journal of Global Optimization, Vol. 56, No. 3
- Mixed-integer nonlinear optimization
  2 April 2013 | Acta Numerica, Vol. 22
- Stochastic binary problems with simple penalties for capacity constraints violations
  11 March 2012 | Mathematical Programming, Vol. 138, No. 1-2
- Mixed integer nonlinear programming tools: an updated practical overview
  12 January 2013 | Annals of Operations Research, Vol. 204, No. 1
- CloudOptimizer
  18 March 2013
- Global Optimization of Nonlinear Network Design
  SIAM Journal on Optimization, Vol. 23, No. 1
- Advances in mathematical programming models for enterprise-wide optimization
  Computers & Chemical Engineering, Vol. 47
- Non-convex mixed-integer nonlinear programming: A survey
  Surveys in Operations Research and Management Science, Vol. 17, No. 2
- Fitting piecewise linear continuous functions
  European Journal of Operational Research, Vol. 219, No. 1
- Algorithms and Software for Convex Mixed Integer Nonlinear Programs
  15 November 2011
- Extending a CIP Framework to Solve MIQCPs
  15 November 2011
- Modeling Mixed-Integer Constrained Optimal Control Problems in AMPL
  IFAC Proceedings Volumes, Vol. 45, No. 2
- Analyzing the computational impact of MIQCP solver components
  Numerical Algebra, Control & Optimization, Vol. 2, No. 4
- Mixed integer nonlinear programming tools: a practical overview
  15 November 2011 | 4OR, Vol. 9, No. 4
- Combination of Nonlinear and Linear Optimization of Transient Gas Networks
  Pia Domschke,
  Bjorn Geißler,
  Oliver Kolb,
  Jens Lang,
  Alexander Martin,
  Antonio Morsi,
  29 December 2010 | INFORMS Journal on Computing, Vol. 23, No. 4
- An Interior Point Constraint Generation Algorithm for Semi-Infinite Optimization with Health-Care Application
  Mohammad R. Oskoorouchi,
  Hamid R. Ghaffari,
  Tamás Terlaky,
  Dionne M. Aleman,
  1 October 2011 | Operations Research, Vol. 59, No. 5
- Lookup system design for networked cloud
- Lift-and-Project Cuts for Mixed Integer Convex Programs
- An outer-approximation algorithm for generalized maximum entropy sampling

cover image INFORMS Journal on Computing

Volume 22, Issue 4

Fall 2010

Pages 499-654

Article Information

Supplemental Material

Metrics

Information

Received:March 01, 2008
Accepted:November 01, 2009
Published Online:March 11, 2010

Cite as

Kumar Abhishek, Sven Leyffer, Jeff Linderoth, (2010) FilMINT: An Outer Approximation-Based Solver for Convex Mixed-Integer Nonlinear Programs. INFORMS Journal on Computing 22(4):555-567.

https://doi.org/10.1287/ijoc.1090.0373

Keywords

PDF download

Available Issues

Available Issues

Available Issues

Available Issues

Available Issues

Available Issues

FilMINT: An Outer Approximation-Based Solver for Convex Mixed-Integer Nonlinear Programs

Supplemental Material

Volume 22, Issue 4

Article Information

Supplemental Material

Metrics

Information

Cite as

Keywords

Sign Up for INFORMS Publications Updates and News